In this paper, we present a new method of synthesizing digital PID controllers for discrete-time, Linear Time Invariant (LTI) Systems satisfying a class of transient response specifications. The problem of synthesizing a controller to achieve desirable transient specifications, such as requiring the transient response to be within an allowable range of overshoot, can be carried out as a problem of guaranteeing the impulse response of an appropriate closed loop error transfer function to be non-negative. An earlier result by the authors provides necessary and sufficient conditions for the impulse response of a discrete-time transfer function to be non-negative in terms of the requirement of a sequence of polynomials to be sign-invariant on the interval [1, ∞). An application of this result to the error transfer function yields a sequence of polynomials which are required to be sign-invariant on [1, ∞) but whose coefficients are polynomial functions of the controller gains k1, k2 and k3.
Skip Nav Destination
ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
October 31–November 2, 2011
Arlington, Virginia, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-5475-4
PROCEEDINGS PAPER
Synthesis of Digital PID Controllers for Discrete-Time Systems With Guaranteed Non-Overshooting Transient Response Available to Purchase
Navid Mohsenizadeh,
Navid Mohsenizadeh
Texas A&M University, College Station, TX
Search for other works by this author on:
Swaroop Darbha,
Swaroop Darbha
Texas A&M University, College Station, TX
Search for other works by this author on:
Shankar P. Bhattacharyya
Shankar P. Bhattacharyya
Texas A&M University, College Station, TX
Search for other works by this author on:
Navid Mohsenizadeh
Texas A&M University, College Station, TX
Swaroop Darbha
Texas A&M University, College Station, TX
Shankar P. Bhattacharyya
Texas A&M University, College Station, TX
Paper No:
DSCC2011-6196, pp. 473-478; 6 pages
Published Online:
May 5, 2012
Citation
Mohsenizadeh, N, Darbha, S, & Bhattacharyya, SP. "Synthesis of Digital PID Controllers for Discrete-Time Systems With Guaranteed Non-Overshooting Transient Response." Proceedings of the ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 1. Arlington, Virginia, USA. October 31–November 2, 2011. pp. 473-478. ASME. https://doi.org/10.1115/DSCC2011-6196
Download citation file:
20
Views
Related Proceedings Papers
Related Articles
Robust Discrete-Time Variable Structure Control Methods
J. Dyn. Sys., Meas., Control (December,2000)
Internal Model Control for Dynamic Systems With Preceded Backlash
J. Dyn. Sys., Meas., Control (March,2009)
Improved Bilinear Routh Approximation Method for Discrete-Time Systems
J. Dyn. Sys., Meas., Control (March,2001)
Related Chapters
Phase Estimation Based Channel Equalization Technique for 64-QAM Communication
International Conference on Computer and Automation Engineering, 4th (ICCAE 2012)
Scalable Video Streaming Multicast of Multiple Groups over Broadband Wireless Networks
International Conference on Computer Engineering and Technology, 3rd (ICCET 2011)
Performance Analysis of DC-DC Boost Converter Using Intelligent Controller
International Conference on Computer and Automation Engineering, 4th (ICCAE 2012)